Displaying similar documents to “Sobolev inequalities with variable exponent attaining the values 1 and n”

Differentiation bases for Sobolev functions on metric spaces.

Petteri Harjulehto, Juha Kinnunen (2004)

Publicacions Matemàtiques

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We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero.